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Finding the Fourth Proportional to 647.85, 971.91 and 301.17

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Solution

The fourth proportional to 647.85, 971.91 and 301.17 is: 451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.85 : 971.91 = 301.17 : x
  2. Step 2: Convert to fraction form
    647.85/971.91 = 301.17/x
  3. Step 3: Cross multiply
    647.85x = 971.91 × 301.17
  4. Step 4: Simplify right side
    647.85x = 292,710.13
  5. Step 5: Solve for x
    x = 292,710.13/647.85
  6. Step 6: Final answer
    x = 451.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.